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arxiv: 1712.03007 · v1 · pith:PUXDQFLJnew · submitted 2017-12-08 · 🧮 math.AP

Weak solutions of the convective Cahn-Hilliard equation with degenerate mobility

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keywords solutionsweakcahn-hilliardconvectivedegenerateequationexistencemobility
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In this paper, the existence of weak solutions of a convective Cahn-Hilliard equation with degenerate mobility is studied. We first define a notion of weak solutions and establish a regularized problems. The existence of such solutions is obtained by considered the limits of the regularized problems.

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